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Finding the Third Proportional to 35,508 and 55,700

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Solution

The third proportional to 35,508 and 55,700 is: 87,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,508 : 55,700 = 55,700 : x
  2. Step 2: Convert to fraction form
    35,508/55,700 = 55,700/x
  3. Step 3: Cross multiply
    35,508x = 55,700 × 55,700
  4. Step 4: Simplify right side
    35,508x = 3,102,490,000
  5. Step 5: Solve for x
    x = 3,102,490,000/35,508
  6. Step 6: Final answer
    x = 87,374.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.